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Adding fractions calculator

Add two or more fractions, mixed numbers, decimals or percents exactly, or recover a missing addend from a known total. See the working steps.

Calculator

Reduced fraction
5/6
Mixed number
5/6
Running calculation
InputRunning result
1/21/2
1/35/6

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How this calculator works

Convert mixed numbers to improper fractions and decimals to exact base-ten fractions. Add each value using a common denominator, then reduce the running sum. In missing-addend mode, enter all known addends and subtract their sum from the known total. The table shows the running result for every entered value. Enter between two and fifty comma-separated values.

Formula

a/b + c/d = (ad + bc)/(bd). Missing addend = total - sum of known addends.

Worked example

1/2 + 1/3 = 5/6. Adding -1 1/2, 2/3 and 5/6 gives zero.

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Frequently asked questions

How do I enter mixed numbers?

Write a space between the whole and fractional parts, such as -1 1/2. That minus sign applies to the entire number.

Do decimals lose precision?

No. A decimal such as 0.1 is interpreted as exactly 1/10. Repeating decimals must be entered as fractions for exact results.

How many values can I enter?

Enter 2 to 50 values separated by commas. Each value may contain up to 160 characters; empty items and zero denominators are invalid.

Sources

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